MathOS in 12 Lines (Installable Runtime Summary)Version: v0.1 (LOCK)

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PageID: EDUKATE::MATHOS::IN_12_LINES_01
Slug: /mathos-in-12-lines/
Title: MathOS in 12 Lines (Installable Runtime Summary)
Version: v0.1 (LOCK)
Parent: /mathos-runtime-control-tower-v0-1/
Intent:

  • Provide the copyable “install block” (CivOS parity requirement)
  • One block that LLMs + humans can run
    GrammarLock:
    Place×Lane×Zoom×Role×Type×ID
    Lane: MATH

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COPY_BLOCK (12 lines; do not edit without version bump)

1) MathOS := Definitions → Legal Moves → Deduction/Proof → Theorems → Models → Decisions.
2) Under load, performance phase-slips: P2 (transfer) → P1 (templates) → P0 (panic).
3) Core loops (Z0): SML (meaning-lock), EQ (equivalence), TR (transfer), LS (load stability), CHOICE (method selection), ORA (verification), TB (time bleed).
4) Sensors update state; they never overwrite structure (IDs/graphs are immutable).
5) FenceOS thresholds map sensors to actions: Sensors → Thresholds → Truncate → Stitch → Retest → Re-enter.
6) Truncate when SML drops or LS spikes: stop timing, shrink width, re-lock meaning.
7) Stitch by order: Meaning → Equivalence → Transfer (3-skin packs) → Interleaving → Timed ladder.
8) Retest is the pass: TR>=0.7 (3-skin) + LS stable (timed/untimed) + ORA checks present.
9) Failure Atlas names collapse patterns; each has Trigger→Trace→Sensors→Repair corridor.
10) Recovery Corridors are indexed procedures (RC_###) with entry conditions and exit gates.
11) AVOO lattice trains roles: Operator executes, Oracle audits, Visionary chooses representations, Architect builds corridors (sandbox-controlled by rho).
12) CivOS symmetry link: when f_math(P2)+EDU_PIPE+ORA_NORM+UNIT_STD are high, society unlocks stable high-Z coordination (“energy projection”).

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POINTERS (install targets)

  • Control Tower: /mathos-runtime-control-tower-v0-1/
  • Sensors: /mathos-sensors-pack-v0-1/
  • Thresholds: /mathos-fenceos-threshold-table-v0-1/
  • Failure Atlas: /mathos-failure-atlas-v0-1/
  • Recovery Corridors: /mathos-recovery-corridors-p0-to-p3/
  • Data Adapter: /mathos-data-adapter-spec-v0-1/
  • AVOO: /avoo-mathematics-role-lattice/
  • Hubs: /what-is-mathematics/ + /how-mathematics-works/

NEXT_OUTPUT (if you say “Next”)
PageID: EDUKATE::MATHOS::MASTER_DIAGRAM_01
slug: /mathos-master-diagram-v0-1/

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